Bairamov, Elgiz; Tas, Kenan; Uğurlu, Ekin On the characteristic functions and Dirichlet-integrable solutions of singular left-definite Hamiltonian systems. (English) Zbl 07858260 Quaest. Math. 47, No. 5, 983-995 (2024). Reviewer: Fatma Hıra (Atakum) MSC: 34B20 37J35 15A60 × Cite Format Result Cite Review PDF Full Text: DOI
Yücel, M.; Mukhtarov, O. Sh.; Aydemir, K. Computation of eigenfunctions of nonlinear boundary-value-transmission problems by developing some approximate techniques. (English) Zbl 07805622 Bol. Soc. Parana. Mat. (3) 41, Paper No. 64, 12 p. (2023). MSC: 34L16 34B24 34L10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Allahverdiev, Bilender P.; Tuna, Hüseyin Impulsive Dirac system on time scales. (English) Zbl 1531.34085 Ukr. Math. J. 75, No. 6, 827-841 (2023) and Ukr. Mat. Zh. 75, No. 6, 723-735 (2023). MSC: 34N05 34L40 34A37 34B09 34L15 34L10 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Štikonas, Artūras; Şen, Erdoğan Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions. (English) Zbl 1514.34143 Math. Model. Anal. 28, No. 2, 308-329 (2023). MSC: 34L20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Olgar, Hayati On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions. (English) Zbl 1521.34079 Demonstr. Math. 56, Article ID 20220210, 10 p. (2023). Reviewer: Hüseyin Tuna (Burdur) MSC: 34L10 34L15 34B08 34B24 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Allahverdiev, Bilender P.; Tuna, Hüseyin Singular discontinuous Hamiltonian systems. (English) Zbl 07906556 J. Appl. Anal. Comput. 12, No. 4, 1386-1402 (2022). MSC: 34B37 34B20 × Cite Format Result Cite Review PDF Full Text: DOI
P. Allahverdiev, Bilender; Tuna, Hüseyin Spectral expansion for discontinuous singular Dirac systems. (English) Zbl 07856792 Honam Math. J. 44, No. 4, 485-503 (2022). MSC: 34L40 34A36 34A37 34B20 47E05 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin Conformable fractional Sturm-Liouville problems on time scales. (English) Zbl 1527.34135 Math. Methods Appl. Sci. 45, No. 4, 2299-2314 (2022). MSC: 34N05 34L10 47A10 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Štikonas, Artūras; Şen, Erdoğan Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions. (English) Zbl 1518.34033 Lith. Math. J. 62, No. 4, 519-541 (2022). Reviewer: Ekin Uğurlu (Ankara) MSC: 34B24 34L20 34B10 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Şen, Erdoğan; Štikonas, Artūras Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument. (English) Zbl 1501.34056 Complex Var. Elliptic Equ. 67, No. 7, 1662-1676 (2022). MSC: 34K08 34K10 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhtarov, Oktay Sh.; Çavuşoğlu, Semih; Pandey, Pramod K. Development of the finite difference method to solve a new type Sturm-Liouville problems. (English) Zbl 1487.65096 Tbil. Math. J. 14, No. 3, 141-154 (2021). MSC: 65L12 34B37 × Cite Format Result Cite Review PDF Full Text: DOI
Şen, Erdoğan; Štikonas, Artūras Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem. (English) Zbl 1476.34081 Math. Model. Anal. 26, No. 2, 253-266 (2021). MSC: 34B24 34L20 35R10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Akcay, Ozge Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator. (English) Zbl 1485.34081 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 1927-1940 (2021). MSC: 34A55 34B24 34B20 34A36 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Bairamov, E.; Solmaz, S.; Cebesoy, S. \(\mathcal{P},\mathcal{T}\) and \(\mathcal{P}\mathcal{T}\)-symmetries of impulsive Dirac systems. (English) Zbl 1488.34465 Hacet. J. Math. Stat. 49, No. 4, 1234-1244 (2020). MSC: 34L05 34L40 34B37 34B09 47E05 34C14 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhtarov, O. Sh.; Aydemir, K. Discontinuous Sturm-Liouville problems involving an abstract linear operator. (English) Zbl 1455.34028 J. Appl. Anal. Comput. 10, No. 4, 1545-1560 (2020). MSC: 34B24 34L05 34L10 34L20 34A37 34K10 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhtarov, O. Sh.; Aydemir, K. Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems. (English) Zbl 1434.34074 Anal. Math. Phys. 9, No. 3, 1363-1382 (2019). MSC: 34L10 34B24 34B27 34L20 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Uğurlu, Ekin Regular third-order boundary value problems. (English) Zbl 1428.34035 Appl. Math. Comput. 343, 247-257 (2019). MSC: 34B05 34B09 34B24 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Uğurlu, Ekin Third-order boundary value transmission problems. (English) Zbl 1426.34035 Turk. J. Math. 43, No. 3, 1518-1532 (2019). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B05 34B08 47E05 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Zhaowen; Cai, Jinming; Li, Kun; Zhang, Maozhu A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter. (English) Zbl 1499.34206 Bound. Value Probl. 2018, Paper No. 103, 15 p. (2018). MSC: 34B24 34L10 47E05 34L15 34L20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kritskov, Leonid V.; Sarsenbi, Abdizhahan M. Equiconvergence property for spectral expansions related to perturbations of the operator \(-u''(-x)\) with initial data. (English) Zbl 1499.34338 Filomat 32, No. 3, 1069-1078 (2018). MSC: 34K08 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Aydemir, Kadriye; Olǧar, Hayati; Mukhtarov, Oktay Sh.; Muhtarov, Fahreddin Differential operator equations with interface conditions in modified direct sum spaces. (English) Zbl 1499.34317 Filomat 32, No. 3, 921-931 (2018). MSC: 34G10 34L15 34L20 34B08 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Olǧar, Hayati; Mukhtarov, Oktay Sh.; Aydemir, Kadriye Some properties of eigenvalues and generalized eigenvectors of one boundary value problem. (English) Zbl 1499.34204 Filomat 32, No. 3, 911-920 (2018). MSC: 34B24 34B09 34L15 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhtarov, Oktay Sh.; Aydemir, Kadriye Minimization principle and generalized Fourier series for discontinuous Sturm-Liouville systems in direct sum spaces. (English) Zbl 1461.34051 J. Appl. Anal. Comput. 8, No. 5, 1511-1523 (2018). MSC: 34B24 34B27 34L15 34L10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bairamov, Elgiz; Solmaz, Şeyda Spectrum and scattering function of the impulsive discrete Dirac systems. (English) Zbl 1438.39001 Turk. J. Math. 42, No. 6, 3182-3194 (2018). MSC: 39A12 34B37 35P25 47A75 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin Titchmarsh-Weyl theory for Dirac systems with transmission conditions. (English) Zbl 1410.34085 Mediterr. J. Math. 15, No. 4, Paper No. 151, 1-12 (2018). Reviewer: Jonathan Eckhardt (Loughborough) MSC: 34B20 34L40 34B40 × Cite Format Result Cite Review PDF Full Text: DOI
Kandemir, Mustafa; Mukhtarov, Oktay Sh. Solvability of fourth-order Sturm-Liouville problems with abstract linear functionals in boundary-transmission conditions. (English) Zbl 1397.34054 Math. Methods Appl. Sci. 41, No. 10, 3643-3652 (2018). MSC: 34B24 34B08 34B10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Uğurlu, Ekin; Taş, Kenan A new method for dissipative dynamic operator with transmission conditions. (English) Zbl 1495.47062 Complex Anal. Oper. Theory 12, No. 4, 1027-1055 (2018). MSC: 47B44 34N05 × Cite Format Result Cite Review PDF Full Text: DOI
Mukhtarov, Oktay Sh.; Aydemir, Kadriye The eigenvalue problem with interaction conditions at one interior singular point. (English) Zbl 1499.34203 Filomat 31, No. 17, 5411-5420 (2017). MSC: 34B24 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Bairamov, Elgiz; Aygar, Yelda; Eren, Basak Scattering theory of impulsive Sturm-Liouville equations. (English) Zbl 1499.34442 Filomat 31, No. 17, 5401-5409 (2017). MSC: 34L25 34L05 34B24 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Bairamov, Elgiz; Aygar, Yelda; Karslıoğlu, Dilara Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions. (English) Zbl 1499.34443 Filomat 31, No. 17, 5391-5399 (2017). MSC: 34L25 34L40 39A60 × Cite Format Result Cite Review PDF Full Text: DOI
Olǧar, H.; Muhtarov, F. S. The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem. (English) Zbl 1378.34044 Mediterr. J. Math. 14, No. 3, Paper No. 114, 13 p. (2017). MSC: 34B24 34L10 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Aydemir, K.; Mukhtarov, O. Sh. Generalized Fourier series as Green’s function expansion for multi-interval Sturm-Liouville systems. (English) Zbl 1378.34043 Mediterr. J. Math. 14, No. 3, Paper No. 100, 17 p. (2017). MSC: 34B24 34B27 34L10 34L15 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Olǧar, H.; Mukhtarov, O. Sh. Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions. (English) Zbl 1379.34081 J. Math. Phys. 58, No. 4, 042201, 13 p. (2017). Reviewer: Alan L. Andrew (Bundoora) MSC: 34L10 34B24 34B05 × Cite Format Result Cite Review PDF Full Text: DOI
Aydemir, Kadriye; Mukhtarov, Oktay S. Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem. (English) Zbl 1381.34046 Bound. Value Probl. 2016, Paper No. 82, 16 p. (2016). MSC: 34B24 34L05 × Cite Format Result Cite Review PDF Full Text: DOI OA License